Continuity of solutions for parametric generalized quasi-variational relation problems

Fixexd point theory and applications

Nguyen Van Hung¹ 

[1] Department of Mathematics, Dong Thap University, Cao Lanh City, Vietnam

关键词: quasi-variational relation problems;    upper semicontinuity;    lower semicontinuity;    Hausdorff lower semicontinuity;    upper semicontinuity;    continuity;    H-continuity;    closedness;   

DOI  :  10.1186/1687-1812-2012-102

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this article, we establish sufficient conditions for the solution sets of parametric generalized quasi-variational relation problems with the stability properties such as the upper semicontinuity, lower semi-continuity, the Hausdorff lower semicontinuity, continuity, Hausdorff continuity, and closedness. Our results improve recent existing ones in the literature. Mathematics Subject Classification 2010: 90C31; 49J53; 49J40; 49J45.

【 授权许可】

CC BY